College Algebra CLEP Prep Practice Exam

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Prepare for the College Algebra CLEP Test with our comprehensive practice exam. Study with flashcards and multiple choice questions, each offering clues and detailed explanations. Achieve your best score and excel in your exam!

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Which of the following is an equation for a circle?

y = x^2 – 2x + 1
x + |y| = 5
y = 2x^2 + 5
x^2 + y^2 = 25

The correct answer is: x^2 + y^2 = 25

A circle is defined by all the points that are equidistant from its center. Therefore, an equation for a circle must have both x and y terms squared and be equal to a constant. Option A is a quadratic equation and does not have both x and y terms squared. Option B is a linear equation with absolute value, which results in two line segments instead of a complete circle. Option C is also a quadratic equation but does not include a constant term, which is necessary for an equation for a circle. Thus, the equation x^2 + y^2 = 25 is the only one that fits the criteria for a circle.